具积分边界条件的逐项分数阶耦合系统解的存在性和Ulam型稳定性
Existence and Ulam Type Stability of Solutions for Sequential Fractional Coupled Systems with Integral Boundary Conditions
摘要: 本文研究了一类逐项分数阶耦合系统边值问题解的存在性和Ulam型稳定性，在积分边界条件下通过给出合适的假设条件利用压缩映射原理和Schauder不动点定理得到系统解的存在唯一性，给出了边值问题Ulam型稳定性的结论。最后给出例子说明结论的可行性。
Abstract: In this paper, we study a class of fractional order boundary value problem solution of the coupled system existence and Ulam type stability, in the integral boundary conditions by giving appropriate assumptions using compression mapping principle and Schauder fixed point theorem for the existence and uniqueness of the solution of the system, to give the conclusion of the boundary value problem of Ulam type stability. Example is given to illustrate the conclusion feasibility.
文章引用：陈张丽, 贾梅. 具积分边界条件的逐项分数阶耦合系统解的存在性和Ulam型稳定性[J]. 应用数学进展, 2022, 11(4): 1903-1915. https://doi.org/10.12677/AAM.2022.114207

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